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Nonlinear Analysis

Time analyticity and reversibility of some parabolic equations

Speaker: Qi S. Zhang, University of California Riverside

Location:  Zoom
Date & time: Wednesday, 14 April 2021 at 9:30AM - 10:30PM

Abstract: We describe a concise way to prove time analyticity for solutions of parabolic equations including the heat and Navier Stokes equations. In some cases, results under sharp conditions are obtained. An application is a necessary and sufficient condition for the solvability of the backward heat equation which is ill-posed, helping to remove an old obstacle in control theory. Part of the work is joint with Hongjie Dong.